Error-resistant distributed quantum computation in a trapped ion chain

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 4, 2007, Pages

  Braungardt, Sibylle ^a   Sen, Aditi ^a   Sen, Ujjwal ^a   Lewenstein, MacIej ^b  

^a ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

^b INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CHARGE TRAPPING; ENERGY BARRIERS; EXCITED STATES; LOGIC GATES; NEURAL NETWORKS; QUANTUM COMPUTERS; QUANTUM THEORY;

QUANTUM NEURAL NETWORKS; QUBITS;

MOLECULAR DYNAMICS;

EID: 34948829708     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.042307     Document Type: Article

References (52)

1. P. Shor, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/ S0097539795293172 26, 1484 (1997).
2. L. Grover, Proceedings of the 28th Annual ACM Symposium on the Theory of Computation, Phildaelphia, PA, 1996 (ACM, New York, 1996);
3. Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.325 79, 325 (1997).
4. P. Shor, Proceedings of the 37th Annual Symposium on Foundations of Computer Science (IEEE, Washington, D.C., 1996);
5. E. Knill and R. Laflamme, e-print arXiv:quant-ph/9608012;
6. E. Knill, R. Laflamme, and W. Zurek, e-print arXiv:quant-ph/9610011;
7. Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1998.0166 454, 365 (1998);
8. D. Aharonov and M. Ben-Or, e-print arXiv:quant-ph/9611025;
9. e-print arXiv:quant-ph/9906129;
10. A. Y. Kitaev, in Quantum Communication, Computing, and Measurement, Proceedings of the 3rd International Conference of Quantum Communication and Measurement, edited by, O. Hirota, A. S. Holevo, and, C. M. Caves, (Plenum, New York, 1997), and references therein.
11. L. M. Duan and G. C. Guo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1953 79, 1953 (1997);
12. P. Zanardi and M. Rasetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3306 79, 3306 (1997);
13. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2594 81, 2594 (1998).
14. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2525 84, 2525 (2000).
15. L. Viola and S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58. 2733 58, 2733 (1998);
16. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2417 82, 2417 (1999);
17. P. Zanardi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00365-5 258, 77 (1999);
18. D. Vitali and P. Tombesi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012305 65, 012305 (2002).
19. A. Y. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/S0003-4916(02) 00018-0 303, 2 (2003);
20. M. H. Freedman, A. Kitaev, and Z. Wang, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s002200200635 227, 587 (2002);
21. M. H. Freedman, M. Larsen, and Z. Wang, e-print arXiv:quant-ph/0001108;
22. M. H. Freedman, e-print arXiv:quant-ph/0003128;
23. M. H. Freedman, A. Kitaev, M. J. Larsen, and Z. Wang, e-print arXiv:quant-ph/0101025;
24. C. Mochon, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.022315 67, 022315 (2003);
25. B. Douçot, M. V. Feigel'man, L. B. Ioffe, and A. S. Ioselevich, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.024505 71, 024505 (2005), and references therein.
26. P. Zanardi and M. Rasetti, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00803-8 264, 94 (1999);
27. J. Pachos, P. Zanardi, and M. Rasetti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.010305 61, 010305 (R) (1999);
28. J. A. Jones, V. Vedral, A. Ekert, and G. Castagnoli, Nature (London) NATUAS 0028-0836 10.1038/35002528 403, 869 (2000);
29. A. Ekert, M. Ericsson, P. Hayden, H. Inamori, J. A. Jones, D. K. L. Oi, and V. Vedral, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400750039500 47, 2501 (2000), and references therein.
30. D. J. Amit, Modeling Brain Functions: The World of Attractor Neural Networks (Cambridge University Press, Cambridge, England, 1989);
31. M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications (World Scientific, Singapore, 1987).
32. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
33. D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, R. Reichle, and D. J. Wineland, Nature (London) NATUAS 0028-0836 10.1038/nature04251 438, 639 (2005).
34. H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, Nature (London) NATUAS 0028-0836 10.1038/nature04279 438, 643 (2005).
35. D. Porras and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.207901 92, 207901 (2004).
36. C. Wunderlich, Laser Physics at the Limit (Springer, Heidelberg, 2002), p. 261.
37. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De), and U. Sen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730701223200 56, 243 (2007).
38. M. Pons, V. Ahufinger, C. Wunderlich, A. Sanpera, S. Braungardt, A. Sen(De), U. Sen, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.023003 98, 023003 (2007).
39. M. Born and V. Fock, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01343193 51, 165 (1928).
40. A. Messiah, Quantum Mechanics (Wiley, New York, 1958).
41. S. Pancharatnam, Proc. Indian Acad. Sci., Sect. A PISAA7 0370-0089 44, 247 (1956).
42. M. V. Berry, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 392, 84 (1984).
43. Geometric Phases in Physics, edited by, A. Shapere, and, F. Wilczek, (World Scientific, Singapore, 1998).
44. E. Farhi and S. Gutmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.2403 57, 2403 (1998).
45. E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, e-print arXiv:quant-ph/0001106;
46. W. van Dam, M. Mosca, and U. Vazirani, e-print arXiv:quant-ph/0206003.
47. D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, e-print arXiv:quant-ph/0405098.
48. M. Pons, V. Ahufinger, C. Wunderlich, A. Sanpera, and M. Lewenstein, e-print arXiv:cond-mat/0512606.
49. W. Dur, G. Vidal, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.062314 62, 062314 (2000).
50. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.1888 60, 1888 (1999).
51. See, e.g., S. Seidelin, J. Chiaverini, R. Reichle, J. J. Bollinger, D. Leibfried, J. Britton, J. H. Wesenberg, R. B. Blakestad, R. J. Epstein, D. B. Hume, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, N. Shiga, and D. J. Wineland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.253003 96, 253003 (2006).
52. D. Deutsch, A. Barenco, and A. Ekert, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1995.0065 449, 669 (1995), and references therein.